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Simplifying 0 = 8y2 + -17y + 2 Reorder the terms: 0 = 2 + -17y + 8y2 Solving 0 = 2 + -17y + 8y2 Solving for variable 'y'. Combine like terms: 0 + -2 = -2 -2 + 17y + -8y2 = 2 + -17y + 8y2 + -2 + 17y + -8y2 Reorder the terms: -2 + 17y + -8y2 = 2 + -2 + -17y + 17y + 8y2 + -8y2 Combine like terms: 2 + -2 = 0 -2 + 17y + -8y2 = 0 + -17y + 17y + 8y2 + -8y2 -2 + 17y + -8y2 = -17y + 17y + 8y2 + -8y2 Combine like terms: -17y + 17y = 0 -2 + 17y + -8y2 = 0 + 8y2 + -8y2 -2 + 17y + -8y2 = 8y2 + -8y2 Combine like terms: 8y2 + -8y2 = 0 -2 + 17y + -8y2 = 0 Factor a trinomial. (-2 + y)(1 + -8y) = 0Subproblem 1
Set the factor '(-2 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Simplifying y = 2Subproblem 2
Set the factor '(1 + -8y)' equal to zero and attempt to solve: Simplifying 1 + -8y = 0 Solving 1 + -8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8y = 0 + -1 -8y = 0 + -1 Combine like terms: 0 + -1 = -1 -8y = -1 Divide each side by '-8'. y = 0.125 Simplifying y = 0.125Solution
y = {2, 0.125}
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